Name: _______________________________ Date: _____________6.EE.A.1 Class: _____________

ExponentsKey Takeaways:

Standards6.EE.A.1: Apply and extend previous understandings of arithmetic to algebraic expressions.

Write numerical expressions involving whole-number exponents. Evaluate numerical expressions involving whole-number exponents.

Vocabulary:

Base, exponent, exponential expression

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Part 1: Definitions

Definition ModelBase: ________________________________________

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5³

Exponent: ____________________________________

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5³

Standard Form: _______________________________

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5³=5 x 5 x 5=125

Exponential Form: _____________________________

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5³

Part 2: Explore

Take a look at the exponential form of this term

Identify the base. _________________________

Identify the exponent. _______________________

What does the exponent tell us to do with the base? _______________________________________________

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Write the standard form of this term. ___________________________________________________________

So, what do we need to do in order to find the product? ____________________________________________

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What is the product? ______________________________

Identify the base. _________________________

Identify the exponent. _______________________

What does the exponent tell us to do with the base? _______________________________________________

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Write the standard form of this term. ___________________________________________________________

So, what do we need to do in order to find the product? ____________________________________________

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What is the product? ______________________________

You know that multiplication is just a quicker way of writing repeated addition. Exponents is just a quicker way of writing repeated multiplication

Repeated Addition Repeated MultiplicationProblem 5+5+5+5 5•5•5•5

Shorter way to write it 5•4

How to say it 5 times 4 or 5 multiplied by 4 5 to the 4th power or 5 raised to the power of 4

This is what it should look like when you have different exponents

Exponent Standard Formn

n•n

n•n•n

n•n•n•n

n•n•n•n•n

n•n•n•n•n•n

n•n•n•n•n•n•n

n•n•n•n•n•n•n•n

n•n•n•n•n•n•n•n•n

n•n•n•n•n•n•n•n•n•n

Part 2 cont.

Identify the base. ________________

Identify the exponent. __________________

What’s different about this exponent than what we saw in the exponents earlier? _______________________

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What is the standard form of this term? _________________________________________________________

What is the product? ___________________________

What is the absolute value of the product? _________________________

Find the reciprocal of the product? ____________________________

Identify the base. ________________

Identify the exponent. __________________

What’s different about this exponent than what we saw in the exponents earlier? _______________________

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What is the standard form of this term? _________________________________________________________

What is the product? ___________________________

What is the absolute value of the product? _________________________

Find the reciprocal of the product? ____________________________

Part 3: Independent Practice-Easy

Write the standard form and the product of each term

Term Standard Form Product

Independent Practice: Medium

In an old story, a man puts 2 grains of rice on the first space of a chess board. He puts 4 grains on the second space, 8 grains on the third space, and so on. Write and evaluate an expression with exponents to find how many grains of rice the man puts on the tenth space. Show your work.

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Name: _______________________________ Date: _____________6.EE.A.1 Class: _____________

Exponents: Exit Ticket

Write the standard form and find the product of each term

Term Standard Form Product

Name: _______________________________ Date: _____________6.EE.A.1 Class: _____________

Exponents: Homework

Write the standard form and find the product of each term

Term Standard Form Product

What makes finding the product different with positive and negative exponents? ___________

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How are exponents and multiplication similar? _______________________________________

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Review